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Finding the Fourth Proportional to 2,614.46, 3,919.05 and 1,228.55

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Solution

The fourth proportional to 2,614.46, 3,919.05 and 1,228.55 is: 1,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.46 : 3,919.05 = 1,228.55 : x
  2. Step 2: Convert to fraction form
    2,614.46/3,919.05 = 1,228.55/x
  3. Step 3: Cross multiply
    2,614.46x = 3,919.05 × 1,228.55
  4. Step 4: Simplify right side
    2,614.46x = 4,814,729.28
  5. Step 5: Solve for x
    x = 4,814,729.28/2,614.46
  6. Step 6: Final answer
    x = 1,841.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.